Topology and its Applications最新文献_第10页

Generalizations of chainability and compactness, and the hypertopologies 链性和紧性的推广，以及超拓扑

IF 0.5 4区数学

Topology and its Applications Pub Date : 2026-01-01 Epub Date: 2025-10-10 DOI: 10.1016/j.topol.2025.109635

Ajit Kumar Gupta , Saikat Mukherjee

引用次数: 0

Some characterizations on strongly topological gyrogroups 强拓扑陀螺群的一些性质

IF 0.5 4区数学

Topology and its Applications Pub Date : 2026-01-01 Epub Date: 2025-10-17 DOI: 10.1016/j.topol.2025.109639

Jing Song , Meng Bao , Xiaolan Liu , Xuewei Ling

引用次数: 0

The proximal game and its connections to other games 近端游戏及其与其他游戏的联系

IF 0.5 4区数学

Topology and its Applications Pub Date : 2026-01-01 Epub Date: 2025-10-13 DOI: 10.1016/j.topol.2025.109636

Khulod Almontashery , Paul J. Szeptycki

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Star covering properties of products of subspaces of ordinals 序数子空间积的星覆盖性质

IF 0.5 4区数学

Topology and its Applications Pub Date : 2026-01-01 Epub Date: 2025-10-27 DOI: 10.1016/j.topol.2025.109648

Yanhui Huang

引用次数: 0

Weird R-factorizable groups 奇怪的r可分解群

IF 0.5 4区数学

Topology and its Applications Pub Date : 2026-01-01 Epub Date: 2025-10-20 DOI: 10.1016/j.topol.2025.109640

Evgenii Reznichenko, Ol'ga Sipacheva

{"title":"Weird R-factorizable groups","authors":"Evgenii Reznichenko, Ol'ga Sipacheva","doi":"10.1016/j.topol.2025.109640","DOIUrl":"10.1016/j.topol.2025.109640","url":null,"abstract":"<div><div>The problem of the existence of non-pseudo-<math><msub><mrow><mi>ℵ</mi></mrow><mrow><mn>1</mn></mrow></msub></math>-compact <math><mi>R</mi></math>-factorizable groups is studied. It is proved that any such group is submetrizable and has weight larger than <math><msub><mrow><mi>ω</mi></mrow><mrow><mn>1</mn></mrow></msub></math>. Closely related results concerning the <math><mi>R</mi></math>-factorizability of products of topological groups and spaces are also obtained (a product <math><mi>X</mi><mo>×</mo><mi>Y</mi></math> of topological spaces is said to be <math><mi>R</mi></math>-factorizable if any continuous function <math><mi>X</mi><mo>×</mo><mi>Y</mi><mo>→</mo><mi>R</mi></math> factors through a product of maps from X and Y to second-countable spaces). In particular, it is proved that the square <math><mi>G</mi><mo>×</mo><mi>G</mi></math> of a topological group G is <math><mi>R</mi></math>-factorizable as a group if and only if it is <math><mi>R</mi></math>-factorizable as a product of spaces, in which case G is pseudo-<math><msub><mrow><mi>ℵ</mi></mrow><mrow><mn>1</mn></mrow></msub></math>-compact. It is also proved that if the product of a space X and an uncountable discrete space is <math><mi>R</mi></math>-factorizable, then <math><msup><mrow><mi>X</mi></mrow><mrow><mi>ω</mi></mrow></msup></math> is hereditarily separable and hereditarily Lindelöf.</div></div>","PeriodicalId":51201,"journal":{"name":"Topology and its Applications","volume":"377 ","pages":"Article 109640"},"PeriodicalIF":0.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145364654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Various questions around finitely positively expansive dynamical systems 关于有限正膨胀动力系统的各种问题

IF 0.5 4区数学

Topology and its Applications Pub Date : 2026-01-01 Epub Date: 2025-09-12 DOI: 10.1016/j.topol.2025.109597

Silvère Gangloff , Pierre Guillon , Piotr Oprocha

{"title":"Various questions around finitely positively expansive dynamical systems","authors":"Silvère Gangloff , Pierre Guillon , Piotr Oprocha","doi":"10.1016/j.topol.2025.109597","DOIUrl":"10.1016/j.topol.2025.109597","url":null,"abstract":"<div><div>It is well-known that when a positively expansive dynamical system is invertible, its underlying space is finite. C. Morales has introduced a decade ago a natural way to generalize positive expansiveness, by introducing other properties that he called positive n-expansiveness, for all <math><mi>n</mi><mo>≥</mo><mn>1</mn></math>, positive 1-expansiveness being identical to positive expansiveness. Contrary to positive expansiveness, positive n-expansiveness for <math><mi>n</mi><mo>></mo><mn>1</mn></math> does not enforce that the space is finite when the system is invertible. In the present paper we call finitely positively expansive dynamical systems as the ones which are positively n-expansive for some integer n, and prove several results on this class of systems. In particular, the well-known result quoted above is true if we add the constraint of shadowing property, while it is not if this property is replaced with minimality. Furthermore, finitely positively expansive systems cannot occur on certain topological spaces such as the interval, when the system is assumed to be invertible finite positive expansiveness implies zero topological entropy. Overall we show that the class of finitely positively expansive dynamical systems is quite rich and leave several questions open for further research.</div></div>","PeriodicalId":51201,"journal":{"name":"Topology and its Applications","volume":"377 ","pages":"Article 109597"},"PeriodicalIF":0.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145322261","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The homology groups of finite cyclic coverings of line arrangement complements 线排列补的有限循环覆盖的同调群

IF 0.5 4区数学

Topology and its Applications Pub Date : 2026-01-01 Epub Date: 2025-10-10 DOI: 10.1016/j.topol.2025.109633

Yongqiang Liu , Wentao Xie

引用次数: 0

Distinguished dense Cp-subspaces 区分稠密的cp子空间

IF 0.5 4区数学

Topology and its Applications Pub Date : 2026-01-01 Epub Date: 2025-10-27 DOI: 10.1016/j.topol.2025.109647

J.C. Ferrando , J. Ka̧kol

{"title":"Distinguished dense Cp-subspaces","authors":"J.C. Ferrando , J. Ka̧kol","doi":"10.1016/j.topol.2025.109647","DOIUrl":"10.1016/j.topol.2025.109647","url":null,"abstract":"<div><div>Let <math><msub><mrow><mi>C</mi></mrow><mrow><mi>p</mi></mrow></msub><mrow><mo>(</mo><mi>X</mi><mo>)</mo></mrow></math> be the linear space of real-valued continuous functions with the pointwise topology. It is known that a Tychonoff space X is a Δ-space if and only if the locally convex space <math><msub><mrow><mi>C</mi></mrow><mrow><mi>p</mi></mrow></msub><mo>(</mo><mi>X</mi><mo>)</mo></math> is distinguished. It has been recently shown that if there is a continuous linear surjection from <math><msub><mrow><mi>C</mi></mrow><mrow><mi>p</mi></mrow></msub><mo>(</mo><mi>X</mi><mo>)</mo></math> onto <math><msub><mrow><mi>C</mi></mrow><mrow><mi>p</mi></mrow></msub><mo>(</mo><mi>Y</mi><mo>)</mo></math> and X is a Δ-space, Y is also a Δ-space. Here we investigate under what conditions the presence of a dense distinguished subspace E in <math><msub><mrow><mi>C</mi></mrow><mrow><mi>p</mi></mrow></msub><mrow><mo>(</mo><mi>X</mi><mo>)</mo></mrow></math> leads X to be a Δ-space. We also produce a class of spaces <math><mi>X</mi><mo>∉</mo><mi>Δ</mi></math> for which <math><msub><mrow><mi>C</mi></mrow><mrow><mi>p</mi></mrow></msub><mrow><mo>(</mo><mi>X</mi><mo>)</mo></mrow></math> contains a distinguished dense subspace.</div></div>","PeriodicalId":51201,"journal":{"name":"Topology and its Applications","volume":"377 ","pages":"Article 109647"},"PeriodicalIF":0.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145418009","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Extensions of increasing bounded uniformly continuous functions 递增有界一致连续函数的扩展

IF 0.5 4区数学

Topology and its Applications Pub Date : 2026-01-01 Epub Date: 2025-09-24 DOI: 10.1016/j.topol.2025.109599

Kaori Yamazaki

引用次数: 0

A note on crossing changes and delta-moves for virtual knots 关于虚拟结的交叉变化和delta移动的注释

IF 0.5 4区数学

Topology and its Applications Pub Date : 2026-01-01 Epub Date: 2025-10-02 DOI: 10.1016/j.topol.2025.109622

Ryuji Higa

引用次数: 0